# Drawing Inference about Population Means and Proportions (Statistics Project Sample)

A hypothesis is a prediction about the relationship between variables, and as such to establish the proposition, there are tests to determine if the association exists (Rossi, 2010). The data collected was related to calories burned for different sessions following participation in physical exercises or physical activities. As such, to establish whether the hypothesized propositions are correct, the outcomes are tested. Calories burned are relevant to indicating weights changes since body weight is dependent on calories intake and calorie expenditures. As such, there is an assumption that if there are more calories burned then this will indicate weight loss with a view meant to remain physically fit and reduce the risk of lifestyle diseases.

Drawing Inference about Population Means and Proportions

BHS220 Introduction to Health Statistics

Taleisa Jackson

Introduction to Hypothesis Testing

Dr. Sharlene Gozalians

April 13, 2015

Test statistic to assess the null hypothesis

Ho: (Null hypothesis) the duration of physical actives and intensity make no difference on calories burned compared to the no-exercise condition

H1: (Alternative hypothesis) the duration of physical actives and intensity result to faster calories burned compared to the no-exercise condition

The t-test statistic is useful to determine the validity of the null hypothesis, assuming that there is approximately normal distribution, but the population mean is unknown. Since the number of observations is 16 (n<30), the t-statistic is appropriate. Given that two samples from the same population are unlikely to have the same exact mean, the test statistic can show whether two samples belong to the same population. In any case, taking into account the standard deviations from two samples and the mean will help in evaluating the hypothesis testing using the t statistic. Even though, the data was collected for more than 16 observations, it is possible to divide the data into two samples to assist in the hypothesis testing.

Description and choice of the test statistic

Since there were differences in the intensity of physical activities and ex...

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